Hello in all. I use Win 98 for 15 years because I prefer it for my work (faster and easier to look for files that Win 7 etc.) However since the implementation of Https and the processor SSE2 Win 98 does not execute browser modern who do not settle down any more. 
KERNEL EX does not seem to me more adapted. Damage.

Exist do it   some  developers having bent over this problem?

Bonjour à tous .  j’utilise Win 98 depuis 15 ans car je le préfère pour mon travail (plus rapide et plus facile pour rechercher des fichiers que Win 7 etc.)  Cependant depuis la mise en place de Https et des processeur SSE2  Win 98 n’exécute pas les browser modernes qui ne s’installent plus. 
Kernel EX ne me semble plus adapté. Dommage.

Existe t-il des développeurs s’étant penché sur ce problème?

Hi, and yes, fortunately. Am surprised that you start looking for alternatives only now ;-)
This forum has long discussions about better browsers for Win98.
For example Firefox2 or 3.6 or 9 or (old) Seamonkey with modern https-update, most by roytam1.
Which browser are you using now? Which browsers do you like?
You don't have SSE2. Do you have simple SSE?
Do you have KernelEx installed? Which version? Your english is a bit difficult to understand, if you want Kex or not, or if you want it but perhaps just could not download it?